I )--1 ii Ax) = -5 8 The diagram shows the graph of a tunin Write down the values of: i A-6) 4) b Find x if: I (x)--1 i Rx) =-5 The point A, 3) lies on the g li Ax) =

Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

A:

Q: An equation is being tested for symmetry with respect tothe x-axis, the y-axis, and the origin.…

A: Query- An equation is being tested for symmetry with respect to the x-axis, the y-axis, and the…

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

A:

Q: Suppose that (a) point C lies in plane X and (b) point D lies in plane X. What can you conclude…

A: Let point C and D lies in plane X. A straight line can be formed by joining the points C and D. Let…

Q: Find a formula that states that P(x, y) is a distance r > 0 from a fixed point C(h, k). Describe the…

A: Given data: The given fixed point is C=(h,k). The given arbitrary point is P=(x,y). The fixed…

Q: Line AB is formed by the vertices A (1, 2, -2) and B (-1, 0, 2). If C is the midpoint of AB, find…

A: Given,  the coordinates of A and B which forms line AB  And c is the mid point is AB Hence the…

Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

A:

Q: II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem: What are the equations of…

A: From the given data, Assuming the illustration in a 2D space. Let P=α,β Then, O be the origin.

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Show that the vertices of any rectangle are co-circular by using the converse of the Power of point…

A: Geometry

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: 1 Find the angle between the bris 2 • surfaces 4x+98 +32 = 91 and 9 2 = 12- (x²7 y ²) at the point…

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Q: A, B and C are vertices of the base of an isosceles triangle ABC. A is at point (1,2), B at (4, -1)…

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Q: 4. Quadrilateral RSTU has vertices R(1,3), S(4, 1), T(1,-3) ,and U(-2,–1). Which statement about…

A: Solve the following

Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: In the coordinate plane, Point B is 1 unit directly above Point A. When Points A and B are reflected…

A: Given that point B in coordinate plane is 1 unit directly above point A Points A and B are reflected…

Q: A trapezoid is shown in the coordinate plane. 10 9- 8 7- 6- 5- 4 3- 2- -10 -9 -8 -7 -6 -5 -4 -3 -2…

A: Given is a trapezoid, when we divide it into 2 parts   equally, the left and right side will be…

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

Q: 1. Given quadrilateral EFGH with vertices at E(-4,8), F(8, 4), G(5,-5) and H(-7,-1), prove using…

A: we haveto prove that E, F, G, H is a rectangle

Q: 9. The diagonals of parallelogram PQRS intersect at X. If RX = a and RS = b, the following in terms…

A: Parallelogram and triangle law of vectors

Q: On a coordinate plane, the endpoints of line segment JK are J(-10, 12) and K(8,-12). Point L lies on…

A: Here we need to use section formula in order to find the coordinates.

Q: f(x,y) = 2xy (Aメノナ vertices ro,0), (1,0), (1,1) Find the average valine orer Ri triangle with

A: Here we have the 2 variable function that is fx,y=2xy. it is required to find the average value of…

Q: Consider the Euclidean plane, and instead of ordinary lines, let the line segments PQ for all pairs…

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Q: The vertices of a AABC are A (2, 0, 2), B (- 1, 1, 1) and C(1,-2,4). The points D and E divide the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: 7. The diagonals of Parallelogram ABCD intersect at point X, the mAX is 152.

A:

Q: Point I is on line segment HJ. Given IJ = 3x + 3, HI = 3x - 1 and HJ = 3x + 8, determine the…

A: Given that I is on line segment HJ HI = 3x -1 IJ = 3x + 3 HJ = 3x + 8

Q: 2) 2 4-2

A:

Q: Is of quadrilateral QRST intersect at P(-3,3). QRST has vertices at Q(4,7) and R(-4,5). What must be…

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Q: a. A wheelchair ramp with a length of 122 inches has a horizontal distance of120 inches. What is the…

A: Consider x is the vertical distance, and horizontal distance is given 120 inches. and the ramp with…

Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

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Q: Point TT is located at (-2,-2)(−2,−2) on the coordinate plane. Point TT is reflected over the…

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Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: We mark off the distance on unit circle, starting at (1,0) and movingcounter clockwise.After…

Q: If two planes intersect, is it guaranteed that the method of setting one of the variables equal to…

A: Let say one the intersecting two planes is Ax + By + Cz =D When we put z = 0 the Plane reduces to…

Q: Suppose  three points on a plane are defined as A=(8,2) B=(-1,-10) C=(-8,14) all lengths  are in…

A: Here we find the distance between the points and check the formation of the triangle.

Q: Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would…

A: Given Theorem 1-1 states that two lines intersect in exactly one point.

Q: Which of these points is closest to the point (7,1)?

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Q: Line AB is formed by the vertices A (1,2,-2) and B (-1,0,2) If C is the midpoint of AB, find AC^2

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Q: On a coordinate plane, triangle FGH is formed with the vertices at point F(0, -2), point G(1,0), and…

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Q: 10. Set of points which are 4 units away from both the point (-2, 2) and the pont (2,-2). Make sure…

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Q: Show that the order in which the points (x,,y,) and (x,,y,) are labeled does a affect the value of…

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Q: Points A, B and C are collinear, and AB: BC =1:4. A is located at (-5, - 3), B is located at (-2, 0)…

A: Points A, B and C are colinear . According to the situation we have diagram

Q: 3. Given two planes, discuss the various possibilities for the set of points they have in common.…

A: Given that,  two planes, the number of possibilities  for the set of points. There are following…

Q: 11. The coordinates of the midpoint of AB are (2,4), and the coordinates of point B are (3,7). What…

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Q: Suppose three points in a plane are defined as:  A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7)  where…

A: Suppose three points in a plane are defined as:  A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7)